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Potential at a General Point Due to a Dipole

A spherical c...

Question

A spherical conductor having charge $q$ and radius $r$ is placed at the centre of a spherical shell of radius $R$ and having charge $Q (R > r) .$ The potential difference between the two is :

A

Proportional to Q

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B

Proportional to q

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C

Dependent on both Q and q

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D

Independent of both Q and q

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Solution

The correct option is A Proportional to Q
The working formula,
$V (r) = \frac{1}{4 π ϵ_{0}} \frac{Q}{r}$
Now, potential difference between the two proportional to $Q$ potential difference is independent of $q$ .

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